A probabilistic measure for the number of commuting subgroups in locally compact groups
We construct a probability measure which counts the pairs of closed commuting subgroups in locally compact groups, extending the “subgroup commutativity degree” of finite groups to pro-Lie groups. We use a topological approach via measure theory and the structure of the Chabauty spaces. An example o...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kazeem, Eniola [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Frequent mutations in the RPL22 gene and its clinical and functional implications - 2013, a journal devoted to general, geometric, set-theoretic and algebraic topology, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:307 ; year:2022 ; day:15 ; month:02 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.topol.2021.107939 |
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10.1016/j.topol.2021.107939 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001645.pica (DE-627)ELV056525966 (ELSEVIER)S0166-8641(21)00356-4 DE-627 ger DE-627 rakwb eng 610 VZ 610 VZ 44.11 bkl Kazeem, Eniola verfasserin aut A probabilistic measure for the number of commuting subgroups in locally compact groups 2022 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We construct a probability measure which counts the pairs of closed commuting subgroups in locally compact groups, extending the “subgroup commutativity degree” of finite groups to pro-Lie groups. We use a topological approach via measure theory and the structure of the Chabauty spaces. An example of Andersen and Jessen shows some natural limitations in our approach, but for compact groups we present an alternative for the construction of the subgroup commutativity degree, using properties of the Chabauty spaces only. 20P05 Elsevier 60B15 Elsevier 28A35 Elsevier 22A26 Elsevier 22A05 Elsevier Russo, Francesco G. oth Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:307 year:2022 day:15 month:02 pages:0 https://doi.org/10.1016/j.topol.2021.107939 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 307 2022 15 0215 0 |
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We construct a probability measure which counts the pairs of closed commuting subgroups in locally compact groups, extending the “subgroup commutativity degree” of finite groups to pro-Lie groups. We use a topological approach via measure theory and the structure of the Chabauty spaces. An example of Andersen and Jessen shows some natural limitations in our approach, but for compact groups we present an alternative for the construction of the subgroup commutativity degree, using properties of the Chabauty spaces only. |
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We construct a probability measure which counts the pairs of closed commuting subgroups in locally compact groups, extending the “subgroup commutativity degree” of finite groups to pro-Lie groups. We use a topological approach via measure theory and the structure of the Chabauty spaces. An example of Andersen and Jessen shows some natural limitations in our approach, but for compact groups we present an alternative for the construction of the subgroup commutativity degree, using properties of the Chabauty spaces only. |
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We construct a probability measure which counts the pairs of closed commuting subgroups in locally compact groups, extending the “subgroup commutativity degree” of finite groups to pro-Lie groups. We use a topological approach via measure theory and the structure of the Chabauty spaces. An example of Andersen and Jessen shows some natural limitations in our approach, but for compact groups we present an alternative for the construction of the subgroup commutativity degree, using properties of the Chabauty spaces only. |
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A probabilistic measure for the number of commuting subgroups in locally compact groups |
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